Solving Equations with Variable on Both Sides

What is the goal when solving an equation?

• To find the value of the variable that makes the equation true.

• To simplify the equation to its lowest terms.

• To determine the number of solutions the equation has.

• To graph the equation on a coordinate plane.

What is a coefficient?

• A number that adds to a variable.

• A number that divides a variable.

• A number that multiplies a variable.

• A number that subtracts from a variable.

Solve: 5k + 21 = 17k - 3

• k = 1

• k = 2

• k = 3

• k = 4

Solve: 5(3n + 10) = 40n

• n = 1

• n = 2

• n = 3

• n = 4

What is a variable in an equation?

• A symbol used to represent an unknown value.

• A constant value that does not change.

• A type of equation that has no solution.

• A method for solving equations.

What is the solution set of an equation?

• The set of all values that satisfy the equation.

• A random selection of numbers.

• The highest value in the equation.

• The lowest value in the equation.

What does it mean to solve an equation?

• Finding the value of the variable that makes the equation true.

• Determining the number of solutions an equation has.

• Graphing the equation on a coordinate plane.

• Simplifying the equation to its lowest terms.

What is the distributive property?

• a(b + c) = ab + ac; it allows you to multiply a single term by two or more terms inside a parenthesis.

• a(b + c) = ab - ac; it allows you to subtract a single term from two or more terms inside a parenthesis.

• a(b + c) = ab + ac + c; it allows you to add a single term to two or more terms inside a parenthesis.

• a(b + c) = ab + ac; it allows you to divide a single term by two or more terms inside a parenthesis.

Solve: 46 - 8p = 19 + p

• p = 1

• p = 2

• p = 3

• p = 4

What is the first step in solving equations with variables on both sides?

• Isolate the variable by moving terms involving the variable to one side.

• Add the same number to both sides of the equation.

• Multiply both sides by the same variable.

• Combine like terms on both sides.